What are the solutions to the equation 6x^2+13x=5 ?

The solutions to the equation 6x^2+13x=5 are x= 1/3 ,x=-5/2

Find the zeros of 6x^2+13x=5

The zeros of 6x^2+13x=5 are x= 1/3 ,x=-5/2

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6 x^{2} + 13 x = 5

x = \frac{1}{3}, x = - \frac{5}{2}

Decimal Notation

x = 0.33333 \dots, x = - 2.5

Solution steps

6 x^{2} + 13 x = 5

Move

5

to the left side

6 x^{2} + 13 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 6 ( - 5 )}{2 \cdot 6}

1 3^{2} - 4 \cdot 6 (- 5) = 17

x_{1, 2} = \frac{- 13 \pm 17}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 13 + 17}{2 \cdot 6}, x_{2} = \frac{- 13 - 17}{2 \cdot 6}

x = \frac{- 13 + 17}{2 \cdot 6} : \frac{1}{3}

x = \frac{- 13 - 17}{2 \cdot 6} : - \frac{5}{2}

The solutions to the quadratic equation are:

x = \frac{1}{3}, x = - \frac{5}{2}

9 x^{2} y^{2} - 3 x y^{2} - 90 y^{2}

(- 27)^{\frac{5}{3}}

\frac{3 + 6 i}{2 - 5 i}

0 = \frac{2}{5} x - 2

(1 + 5^{2}) - 16 (\frac{1}{2})^{3}

What are the solutions to the equation 6x^2+13x=5 ?
The solutions to the equation 6x^2+13x=5 are x= 1/3 ,x=-5/2
Find the zeros of 6x^2+13x=5
The zeros of 6x^2+13x=5 are x= 1/3 ,x=-5/2